A Candidate for Solvable Large N Lattice Gauge Theory in D>2
| dc.creator | Dubin, Andrey | |
| dc.date | 1999-10-11 | |
| dc.date.accessioned | 2026-07-07T04:27:10Z | |
| dc.date.available | 2026-07-07T04:27:10Z | |
| dc.description | I propose a class of D\geq{2} lattice SU(N) gauge theories dual to certain vector models endowed with the local [U(N)]^{D} conjugation-invariance and Z_{N} gauge symmetry. In the latter models, both the partitition function and Wilson loop observables depend nontrivially only on the eigenvalues of the link-variables. Therefore, the vector-model facilitates a master-field representation of the large N loop-averages in the corresponding induced gauge system. As for the partitition function, in the limit N->{infinity} it is reduced to the 2Dth power of an effective one-matrix eigenvalue-model which makes the associated phase structure accessible. In particular a simple scaling-condition, that ensures the proper continuum limit of the induced gauge theory, is proposed. We also derive a closed expression for the large N average of a generic nonself-intersecting Wilson loop in the D=2 theory defined on an arbitrary 2d surface. | |
| dc.description | 46 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9910088 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9910088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56321 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | A Candidate for Solvable Large N Lattice Gauge Theory in D>2 | |
| dc.type | text |